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Write each expression in problems 1 to 3 in the form a + bi.

1. (8-3i)+(-6+2i)
2. 4/(2-i)
3. (3-2i)^3

I do not understand at all where to start. I tired looking on google to find a way to solve but I didn't get any real help. So please help me!

Question ID
524697

Created
April 3, 2011 5:59pm UTC

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0

URL
https://questions.llc/questions/524697

Answers
4

Views
936

4 answers

  1. 1. 8 - 6 -3i + 2i = 2 - i.

    2. 4 / (2 - i),

    Multiply numerator and denominator by 2 + i:

    (8 + 4i) / (2 - i)(2 + i),
    (8 + 4i) / (4 + 1) = (8 + 4i) / 5.

    3. (3 - 2i)^3 = (3 - 2i)^2 (3 - 2i)=
    (9 - 12i + 4) (3 - 2i),
    (13 - 12i) (3 - 2i),
    39 - 26i - 36i - 24 = 15 - 62i.

    Answer ID
    525641

    Created
    April 5, 2011 2:47am UTC

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    0

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  2. Alright thank you. Can I also put them in my calculator? I wasn't sure but I did for the first one and got the same answer.

    Answer ID
    525862

    Created
    April 5, 2011 5:55pm UTC

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    0

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  3. That's fine if you don't have to show
    your work.

    Answer ID
    525960

    Created
    April 5, 2011 8:43pm UTC

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    0

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  4. Thank you so much for your help!

    Answer ID
    525996

    Created
    April 5, 2011 9:27pm UTC

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    0

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